select the correct answer. what are the solutions of the quadratic equation below? -7x² - 23x + 10 = 0 a…

select the correct answer. what are the solutions of the quadratic equation below? -7x² - 23x + 10 = 0 a. $\frac{23pmsqrt{809}}{-14}$ b. $\frac{23pmsqrt{809}}{-7}$ c. $\frac{-23pmsqrt{809}}{-14}$ d. $\frac{-23pmsqrt{809}}{-7}$

select the correct answer. what are the solutions of the quadratic equation below? -7x² - 23x + 10 = 0 a. $\frac{23pmsqrt{809}}{-14}$ b. $\frac{23pmsqrt{809}}{-7}$ c. $\frac{-23pmsqrt{809}}{-14}$ d. $\frac{-23pmsqrt{809}}{-7}$

Answer

Explanation:

Step1: Identify coefficients

For the quadratic equation $-7x^{2}-23x + 10=0$, we have $a=-7$, $b=-23$, $c = 10$.

Step2: Calculate the discriminant

The discriminant $\Delta=b^{2}-4ac=(-23)^{2}-4\times(-7)\times10=529 + 280=809$.

Step3: Apply the quadratic - formula

The quadratic formula is $x=\frac{-b\pm\sqrt{\Delta}}{2a}$. Substituting the values of $a$, $b$, and $\Delta$: $x=\frac{-(-23)\pm\sqrt{809}}{2\times(-7)}=\frac{23\pm\sqrt{809}}{-14}$.

Answer:

A. $\frac{23\pm\sqrt{809}}{-14}$